A fragment of a theoretical set and its strongly minimal central type
The paper defines a new class of algebras, the theory of which is a special case of Jonsson theories. This class applies to both varieties and Jonsson theories. The main results of this article are the following two results. In this article, an answer is obtained to the question of the equi...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Academician Ye.A. Buketov Karaganda University
2023-09-01
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| Series: | Қарағанды университетінің хабаршысы. Математика сериясы |
| Online Access: | https://mathematics-vestnik.ksu.kz/apart/2023-111-3/13.pdf |
| _version_ | 1797636629243887616 |
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| author | O.I. Ulbrikht N.V. Popova |
| author_facet | O.I. Ulbrikht N.V. Popova |
| author_sort | O.I. Ulbrikht |
| collection | DOAJ |
| description | The paper defines a new class of algebras, the theory of which is a special case of Jonsson theories. This class applies to both varieties and Jonsson theories. The main results of this article are the following two results. In this article, an answer is obtained to the question of the equivalence of existential closure and algebraic closure of the model of the cosemantic class of a fixed spectrum of a Robinson hereditary variety. A criterion for strong minimality is obtained in the framework of the study of central types of central classes and fragments of a fixed spectrum. |
| first_indexed | 2024-03-11T12:36:45Z |
| format | Article |
| id | doaj.art-941cd4b383eb4c82a362d591f56a1aaf |
| institution | Directory Open Access Journal |
| issn | 2518-7929 2663-5011 |
| language | English |
| last_indexed | 2024-03-11T12:36:45Z |
| publishDate | 2023-09-01 |
| publisher | Academician Ye.A. Buketov Karaganda University |
| record_format | Article |
| series | Қарағанды университетінің хабаршысы. Математика сериясы |
| spelling | doaj.art-941cd4b383eb4c82a362d591f56a1aaf2023-11-05T16:09:12ZengAcademician Ye.A. Buketov Karaganda UniversityҚарағанды университетінің хабаршысы. Математика сериясы2518-79292663-50112023-09-01111315216410.31489/2023M3/152-164A fragment of a theoretical set and its strongly minimal central typeO.I. UlbrikhtN.V. Popova The paper defines a new class of algebras, the theory of which is a special case of Jonsson theories. This class applies to both varieties and Jonsson theories. The main results of this article are the following two results. In this article, an answer is obtained to the question of the equivalence of existential closure and algebraic closure of the model of the cosemantic class of a fixed spectrum of a Robinson hereditary variety. A criterion for strong minimality is obtained in the framework of the study of central types of central classes and fragments of a fixed spectrum.https://mathematics-vestnik.ksu.kz/apart/2023-111-3/13.pdf |
| spellingShingle | O.I. Ulbrikht N.V. Popova A fragment of a theoretical set and its strongly minimal central type Қарағанды университетінің хабаршысы. Математика сериясы |
| title | A fragment of a theoretical set and its strongly minimal central type |
| title_full | A fragment of a theoretical set and its strongly minimal central type |
| title_fullStr | A fragment of a theoretical set and its strongly minimal central type |
| title_full_unstemmed | A fragment of a theoretical set and its strongly minimal central type |
| title_short | A fragment of a theoretical set and its strongly minimal central type |
| title_sort | fragment of a theoretical set and its strongly minimal central type |
| url | https://mathematics-vestnik.ksu.kz/apart/2023-111-3/13.pdf |
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